Exact solutions for differential-algebraic equations

Abstract

This work presents the application of series method to find solutions of differentialalgebraic equations systems (DAEs). We present two case studies to show that series method generates approximate solutions for DAEs. The type of tested equations are a linear and a nonlinear DAEs of index-3. What is more, we present the post-processing of the series solutions with Laplace-Padé (LP) resummation method as a useful strategy to find exact solutions or to extend the domain of convergence of the power series solutions. © 2014 Miskolc University Press.